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Finding the Fourth Proportional to 3,802.74, 5,705.93 and 1,853.88

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Solution

The fourth proportional to 3,802.74, 5,705.93 and 1,853.88 is: 2,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.74 : 5,705.93 = 1,853.88 : x
  2. Step 2: Convert to fraction form
    3,802.74/5,705.93 = 1,853.88/x
  3. Step 3: Cross multiply
    3,802.74x = 5,705.93 × 1,853.88
  4. Step 4: Simplify right side
    3,802.74x = 10,578,109.51
  5. Step 5: Solve for x
    x = 10,578,109.51/3,802.74
  6. Step 6: Final answer
    x = 2,781.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.